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math.AG2022
A Remark on Lurie's Representability Theorem
Aron Heleodoro
In this note we revisit Lurie's representability theorem for geometric stacks and prove that one of the conditions can be mildly relaxed. The proof uses ideas from Hall--Rydh's wor…
math.AG2020
Prestacks of Tate type
Aron Heleodoro
This paper introduces the notion of prestacks of Tate type and studies natural geometric conditions on them. We also develop a formalism of Tate-coherent sheaves and define a duali…
math.AG2019★ 2 cited
Determinant map for the prestack of Tate objects
Aron Heleodoro
We construct a map from the prestack of Tate objects over a commutative ring to the stack of -gerbes. The result is obtained by combining the determinant ma…